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Solution


Q.

Consider the figure shown alongside:

Assertion (A): Area of shaded region = Area of quadrilateral ABCD − Area of smaller semi-circle − Area of larger semi-circle.

Reason (R): AB  is not parallel to CD.
1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).  
2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).  
3 Assertion (A) is true but Reason (R) is false.  
4 Assertion (A) is false but Reason (R) is true.  

Ans.

(2)

Here, we can say,
Area of shaded region 
=Area of quadrilateral ABCD-Area of smaller semi-circle-Area of larger semi-circle

Also,if R=r,then only AB∥CDBut here R=r+2∴AB is not parallel to CD

Thus, both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).